LCM of 247, 737, 224, 616, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 737, 224, 616, 260 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 247, 737, 224, 616, 260. So, keep reading to learn more.
Given numbers are 247,737,224,616,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,737,224,616,260 is 203883680.
Find LCM of 247,737,224,616,260 with Prime Factorization
| 2 | 247, 737, 224, 616, 260 |
| 2 | 247, 737, 112, 308, 130 |
| 2 | 247, 737, 56, 154, 65 |
| 7 | 247, 737, 28, 77, 65 |
| 11 | 247, 737, 4, 11, 65 |
| 13 | 247, 67, 4, 1, 65 |
| 19, 67, 4, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 13 x 19 x 67 x 4 x 1 x 5 = 203883680
Therefore, the lowest common multiple of 247,737,224,616,260 is 203883680.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
247 x 737 x 224 x 616 x 260 = 6530802037760
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
247 : 1, 13, 19, 247
737 : 1, 11, 67, 737
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,737,224,616,260, is 1.
Now, the common factors can be found like this.
247:13x 19
737:11x 67
224:2x 2x 2x 2x 2x 7
616:2x 2x 2x 7x 11
260:2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 7x 11x 13 = 32032
Therefore, the value for common factors is 32032.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 6530802037760/(1x32032)
LCM = 6530802037760/32032
LCM = 203883680
Thus, we can understand that the LCM of 247,737,224,616,260 is 203883680.
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FAQs on LCM of 247, 737, 224, 616, 260
1. What is the LCM of 247, 737, 224, 616, 260?
Answer: LCM of 247, 737, 224, 616, 260 is 203883680.
2. How to calculate the LCM of 247, 737, 224, 616, 260?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 247, 737, 224, 616, 260.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.